N. Henze

most citedA genuine test for hyperuniformity

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math.PR2026

The limit law of the largest interpoint distance in a $d$ -dimensional ellipsoid

Norbert Henze, Sreenivasa Rao Jammalamadaka

We consider the largest interpoint distance $M_{n} = max_{1 \leq i < j \leq n} ∥ X_{i} - X_{j} ∥$ among independent random points $X_{1}, \dots, X_{n}$ , uniformly distributed on a $d$ -dimensional ellip…

math.PR2026

The location of the largest exponential spacing and Euler's generalized pentagonal numbers

Norbert Henze

We study the location of the largest spacing generated by the order statistics of a sample from the standard exponential distribution. Although the asymptotic behaviour of the larg…

math.PR2026

A 4/7-limit law for the largest interpoint distance in a rotational ellipsoid

Norbert Henze

Let $M_{n}$ denote the largest interpoint distance among independent random points $X_{1}, \dots, X_{n}$ uniformly distributed in a compact set in $R^{d}$ . Weak limit laws for $M_{n}$ …

The limit law of the largest interpoint distance in a d-dimensional ellipsoid

The location of the largest exponential spacing and Euler's generalized pentagonal numbers

A 4/7-limit law for the largest interpoint distance in a rotational ellipsoid

The limit law of the largest interpoint distance in a $d$ -dimensional ellipsoid